This report compares two approaches under the same preference framework: (1) piecewise linear utilities (standard UTA-STAR) and (2) a linear weighted-sum baseline. It summarizes performance, utilities, and weights per subset, with plots and equations.
UTA-STAR estimates per-criterion utility functions that can be non-linear, allowing different marginal returns across the criterion range. The linear baseline constrains utilities to u_i(x)=w_i·x, i.e., straight lines through the origin with slope w_i. When utilities are strongly non-linear, UTA-STAR can fit preferences better.
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 2.1886 * x + -1.6414 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0040 * x + -0.0020 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0010 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0774 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0193 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0193 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0193 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0063 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0016 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0016 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0016 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 1.7237 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.4309 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.4309 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.4309
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.50: u(x) = 0.0180 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0090 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0604 * x + -0.0302 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.50: u(x) = 1.8988 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0097 * x + 0.9446 Slope (%)(x) = if 0.00 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.50: u(x) = 0.0022 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0090 * x + -0.0034 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.50: u(x) = 0.0019 * x + 0.0000 if 0.50 <= x <= 1.00: u(x) = 0.0000 * x + 0.0010
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0127 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0032 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0032 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0032 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 1.5199 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0049 * x + 0.3787 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.3812 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.3812 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.9673 * x + -0.2418 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.2418 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.2418 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0024 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0006 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0006 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0006 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0102 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0025 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0025 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0025 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 1.4802 * x + -0.7401 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.3701 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0024 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0006 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0006 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0006
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0112 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0055 * x + 0.0014 if 0.50 <= x <= 0.75: u(x) = 0.0003 * x + 0.0040 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0042 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0051 * x + -0.0013 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0013 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0013 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 3.9659 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0026 * x + 0.9908 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.9921 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.9921 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0017 * x + -0.0004 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0004 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0004 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0010 * x + -0.0007 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0067 * x + -0.0017 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0017 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0017
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0097 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0032 if 0.67 <= x <= 1.00: u(x) = 0.0109 * x + -0.0040 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 2.0085 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0038 * x + 0.6683 if 0.67 <= x <= 1.00: u(x) = 0.0002 * x + 0.6706 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Slope (%)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0242 * x + -0.0081 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0081 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.9412 * x + -0.3137 if 0.67 <= x <= 1.00: u(x) = 0.0006 * x + 0.3133 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0007 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0002 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0002
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 2.9310 * x + -0.9770 if 0.67 <= x <= 1.00: u(x) = 0.0086 * x + 0.9713 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0166 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0055 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0055 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0392 * x + -0.0131 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0131 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Slope (%)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0046 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0015 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0015
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 3.9777 * x + -1.9889 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.9944 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0093 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0023 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0023 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0023 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0088 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0042 * x + 0.0011 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0032 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0032
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0084 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0028 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0028 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0382 * x + -0.0127 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0127 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0302 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0101 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0101 Slope (%)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0065 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0024 * x + 0.0014 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0030 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 2.9047 * x + -0.9682 if 0.67 <= x <= 1.00: u(x) = 0.0096 * x + 0.9618 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.33: u(x) = 0.0000 * x + 0.0000 if 0.33 <= x <= 0.67: u(x) = 0.0000 * x + 0.0000 if 0.67 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0008 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0002 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0002 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0002 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 2.1203 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0194 * x + 0.5252 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.5349 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.5349 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0096 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0024 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0024 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0024 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0013 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0003 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0003 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0003 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 1.8473 * x + -0.9237 if 0.75 <= x <= 1.00: u(x) = 0.0012 * x + 0.4609 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
Count of Structures within a Quarter Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Very High Hazard Severity Zones % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Agriculture and Fuel Break % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 2.2491 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.5623 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.5623 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.5623 Burn Scar % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 Slope (%)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000 WUI Coverage % within a Half Mile(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 1.7509 * x + -0.8754 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.4377 Fire Behavior Fuel Model (normalized)(x) = if 0.00 <= x <= 0.25: u(x) = 0.0000 * x + 0.0000 if 0.25 <= x <= 0.50: u(x) = 0.0000 * x + 0.0000 if 0.50 <= x <= 0.75: u(x) = 0.0000 * x + 0.0000 if 0.75 <= x <= 1.00: u(x) = 0.0000 * x + 0.0000
| subset | approach | qtrmi_s | hvhsz_s | agfb_s | hbrn_s | slope_s | hwui_s | fbfm_s | avg | min | max | top500 | utilbp_qtrmi_s_0 | utilbp_qtrmi_s_1 | utilbp_qtrmi_s_2 | utilbp_qtrmi_s_3 | utilbp_qtrmi_s_4 | utilbp_hvhsz_s_0 | utilbp_hvhsz_s_1 | utilbp_hvhsz_s_2 | utilbp_hvhsz_s_3 | utilbp_hvhsz_s_4 | utilbp_agfb_s_0 | utilbp_agfb_s_1 | utilbp_agfb_s_2 | utilbp_agfb_s_3 | utilbp_agfb_s_4 | utilbp_hbrn_s_0 | utilbp_hbrn_s_1 | utilbp_hbrn_s_2 | utilbp_hbrn_s_3 | utilbp_hbrn_s_4 | utilbp_slope_s_0 | utilbp_slope_s_1 | utilbp_slope_s_2 | utilbp_slope_s_3 | utilbp_slope_s_4 | utilbp_hwui_s_0 | utilbp_hwui_s_1 | utilbp_hwui_s_2 | utilbp_hwui_s_3 | utilbp_hwui_s_4 | utilbp_fbfm_s_0 | utilbp_fbfm_s_1 | utilbp_fbfm_s_2 | utilbp_fbfm_s_3 | utilbp_fbfm_s_4 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| parcels_subset | piecewise | 0.547140 | 0.001000 | 0.000000 | 0.019339 | 0.001584 | 0.000000 | 0.430937 | 2194.176471 | 81 | 6119 | 2 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.547140 | 0.0 | 0.000000 | 0.000000 | 0.001000 | 0.001000 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.019339 | 0.019339 | 0.019339 | 0.019339 | 0.0 | 0.001584 | 0.001584 | 0.001584 | 0.001584 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.430937 | 0.430937 | 0.430937 | 0.430937 |
| parcels_subset | linear | 0.183851 | 0.114217 | 0.000000 | 0.467179 | 0.070023 | 0.000000 | 0.164730 | 3674.058824 | 179 | 11287 | 2 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_1 | piecewise | 0.009018 | 0.000000 | 0.030176 | 0.954284 | 0.000000 | 0.005553 | 0.000969 | 25.764706 | 5 | 80 | 17 | 0.0 | 0.009018 | 0.009018 | NaN | NaN | 0.0 | 0.000000 | 0.000000 | NaN | NaN | 0.0 | 0.000000 | 0.030176 | NaN | NaN | 0.0 | 0.949421 | 0.954284 | NaN | NaN | 0.0 | 0.000000 | 0.000000 | NaN | NaN | 0.0 | 0.001077 | 0.005553 | NaN | NaN | 0.0 | 0.000969 | 0.000969 | NaN | NaN |
| subset_1 | linear | 0.046250 | 0.000000 | 0.711954 | 0.176169 | 0.000000 | 0.065627 | 0.000000 | 29.941176 | 7 | 86 | 17 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_2 | piecewise | 0.003164 | 0.381216 | 0.241815 | 0.000602 | 0.002548 | 0.370050 | 0.000605 | 899.083333 | 159 | 2636 | 11 | 0.0 | 0.003164 | 0.003164 | 0.003164 | 0.003164 | 0.0 | 0.379981 | 0.381216 | 0.381216 | 0.381216 | 0.0 | 0.000000 | 0.241815 | 0.241815 | 0.241815 | 0.0 | 0.000602 | 0.000602 | 0.000602 | 0.000602 | 0.0 | 0.002548 | 0.002548 | 0.002548 | 0.002548 | 0.0 | 0.000000 | 0.000000 | 0.370050 | 0.370050 | 0.0 | 0.000605 | 0.000605 | 0.000605 | 0.000605 |
| subset_2 | linear | 0.160809 | 0.305117 | 0.113166 | 0.000000 | 0.126600 | 0.294308 | 0.000000 | 2520.500000 | 853 | 4530 | 0 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_3 | piecewise | 0.004241 | 0.001276 | 0.992131 | 0.000000 | 0.000437 | 0.000247 | 0.001667 | 14369.500000 | 563 | 37062 | 0 | 0.0 | 0.002788 | 0.004164 | 0.004241 | 0.004241 | 0.0 | 0.000000 | 0.001276 | 0.001276 | 0.001276 | 0.0 | 0.991481 | 0.992131 | 0.992131 | 0.992131 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000437 | 0.000437 | 0.000437 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000247 | 0.0 | 0.000000 | 0.001667 | 0.001667 | 0.001667 |
| subset_3 | linear | 0.346646 | 0.024967 | 0.047711 | 0.449907 | 0.040436 | 0.000000 | 0.090333 | 17734.041667 | 2288 | 47043 | 0 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_4 | piecewise | 0.006878 | 0.000000 | 0.670849 | 0.000000 | 0.008080 | 0.313949 | 0.000244 | 65.883721 | 2 | 242 | 43 | 0.0 | 0.003238 | 0.003238 | 0.006878 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.669511 | 0.670771 | 0.670849 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.000000 | 0.008080 | 0.008080 | NaN | 0.0 | 0.000000 | 0.313745 | 0.313949 | NaN | 0.0 | 0.000244 | 0.000244 | 0.000244 | NaN |
| subset_4 | linear | 0.243458 | 0.000000 | 0.069757 | 0.000000 | 0.480166 | 0.196271 | 0.010349 | 139.697674 | 7 | 742 | 42 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_5 | piecewise | 0.979874 | 0.005529 | 0.013058 | 0.000000 | 0.000000 | 0.000000 | 0.001539 | 205.743590 | 7 | 423 | 39 | 0.0 | 0.000000 | 0.977010 | 0.979874 | NaN | 0.0 | 0.005529 | 0.005529 | 0.005529 | NaN | 0.0 | 0.000000 | 0.013058 | 0.013058 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.001539 | 0.001539 | 0.001539 | NaN |
| subset_5 | linear | 0.529374 | 0.289022 | 0.000000 | 0.000000 | 0.105256 | 0.000000 | 0.076348 | 236.512821 | 1 | 836 | 33 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_6 | piecewise | 0.000000 | 0.000000 | 0.994436 | 0.000000 | 0.002320 | 0.000000 | 0.003244 | 1788.583333 | 59 | 4003 | 5 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000000 | 0.994436 | 0.994436 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.002320 | 0.002320 | 0.002320 | 0.002320 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.002197 | 0.003244 | 0.003244 | 0.003244 |
| subset_6 | linear | 0.000000 | 0.000000 | 0.570261 | 0.000000 | 0.205618 | 0.000000 | 0.224121 | 3410.833333 | 437 | 9393 | 1 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_7 | piecewise | 0.002786 | 0.000000 | 0.012731 | 0.010062 | 0.002982 | 0.971439 | 0.000000 | 156.470588 | 24 | 424 | 17 | 0.0 | 0.002786 | 0.002786 | 0.002786 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN | 0.0 | 0.000000 | 0.012731 | 0.012731 | NaN | 0.0 | 0.010062 | 0.010062 | 0.010062 | NaN | 0.0 | 0.002168 | 0.002982 | 0.002982 | NaN | 0.0 | 0.000000 | 0.968237 | 0.971439 | NaN | 0.0 | 0.000000 | 0.000000 | 0.000000 | NaN |
| subset_7 | linear | 0.055114 | 0.000000 | 0.123436 | 0.220579 | 0.146356 | 0.454515 | 0.000000 | 616.470588 | 149 | 2071 | 11 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_8 | piecewise | 0.000194 | 0.000000 | 0.534939 | 0.002396 | 0.000335 | 0.462136 | 0.000000 | 2334.428571 | 1712 | 3202 | 0 | 0.0 | 0.000194 | 0.000194 | 0.000194 | 0.000194 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.530083 | 0.534939 | 0.534939 | 0.534939 | 0.0 | 0.002396 | 0.002396 | 0.002396 | 0.002396 | 0.0 | 0.000335 | 0.000335 | 0.000335 | 0.000335 | 0.0 | 0.000000 | 0.000000 | 0.461832 | 0.462136 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| subset_8 | linear | 0.036156 | 0.000000 | 0.000000 | 0.400499 | 0.000000 | 0.563345 | 0.000000 | 5046.619048 | 2979 | 8531 | 0 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| subset_9 | piecewise | 0.000000 | 0.000000 | 0.562276 | 0.000000 | 0.000000 | 0.437724 | 0.000000 | 13428.684211 | 8395 | 15993 | 0 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.562276 | 0.562276 | 0.562276 | 0.562276 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 0.0 | 0.000000 | 0.000000 | 0.437724 | 0.437724 | 0.0 | 0.000000 | 0.000000 | 0.000000 | 0.000000 |
| subset_9 | linear | 0.287272 | 0.000000 | 0.000000 | 0.420331 | 0.000000 | 0.292397 | 0.000000 | 22571.394737 | 22178 | 23124 | 0 | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN | NaN |
| Subset | Approach | AvgRank | MinRank | MaxRank | Top500 | DominantCriterion | DominantWeight | SecondCriterion | SecondWeight |
|---|---|---|---|---|---|---|---|---|---|
| parcels_subset | Piecewise | 2194.176471 | 81 | 6119 | 2 | qtrmi_s | 0.547140 | fbfm_s | 0.430937 |
| parcels_subset | Linear | 3674.058824 | 179 | 11287 | 2 | hbrn_s | 0.467179 | qtrmi_s | 0.183851 |
| subset_1 | Piecewise | 25.764706 | 5 | 80 | 17 | hbrn_s | 0.954284 | agfb_s | 0.030176 |
| subset_1 | Linear | 29.941176 | 7 | 86 | 17 | agfb_s | 0.711954 | hbrn_s | 0.176169 |
| subset_2 | Piecewise | 899.083333 | 159 | 2636 | 11 | hvhsz_s | 0.381216 | hwui_s | 0.370050 |
| subset_2 | Linear | 2520.500000 | 853 | 4530 | 0 | hvhsz_s | 0.305117 | hwui_s | 0.294308 |
| subset_3 | Piecewise | 14369.500000 | 563 | 37062 | 0 | agfb_s | 0.992131 | qtrmi_s | 0.004241 |
| subset_3 | Linear | 17734.041667 | 2288 | 47043 | 0 | hbrn_s | 0.449907 | qtrmi_s | 0.346646 |
| subset_4 | Piecewise | 65.883721 | 2 | 242 | 43 | agfb_s | 0.670849 | hwui_s | 0.313949 |
| subset_4 | Linear | 139.697674 | 7 | 742 | 42 | slope_s | 0.480166 | qtrmi_s | 0.243458 |
| subset_5 | Piecewise | 205.743590 | 7 | 423 | 39 | qtrmi_s | 0.979874 | agfb_s | 0.013058 |
| subset_5 | Linear | 236.512821 | 1 | 836 | 33 | qtrmi_s | 0.529374 | hvhsz_s | 0.289022 |
| subset_6 | Piecewise | 1788.583333 | 59 | 4003 | 5 | agfb_s | 0.994436 | fbfm_s | 0.003244 |
| subset_6 | Linear | 3410.833333 | 437 | 9393 | 1 | agfb_s | 0.570261 | fbfm_s | 0.224121 |
| subset_7 | Piecewise | 156.470588 | 24 | 424 | 17 | hwui_s | 0.971439 | agfb_s | 0.012731 |
| subset_7 | Linear | 616.470588 | 149 | 2071 | 11 | hwui_s | 0.454515 | hbrn_s | 0.220579 |
| subset_8 | Piecewise | 2334.428571 | 1712 | 3202 | 0 | agfb_s | 0.534939 | hwui_s | 0.462136 |
| subset_8 | Linear | 5046.619048 | 2979 | 8531 | 0 | hwui_s | 0.563345 | hbrn_s | 0.400499 |
| subset_9 | Piecewise | 13428.684211 | 8395 | 15993 | 0 | agfb_s | 0.562276 | hwui_s | 0.437724 |
| subset_9 | Linear | 22571.394737 | 22178 | 23124 | 0 | hbrn_s | 0.420331 | hwui_s | 0.292397 |